Answer:
<h2>The answer is 2</h2>
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(82, −96) and (87, −86)
We have
We have the final answer as
<h3>2 </h3>
Hope this helps you
Step-by-step explanation:
the volume of any pyramid is
base area × height / 3
so, since we know the base area (a square with 23 mm side length), the only trick we need to do is to get the inner height (straight up in the middle from the base area to the top of the pyramid).
because this is a regular pyramid (the top of the pyramid is right above the middle of the base area), we can use Pythagoras for right-angled triangles
c² = a² + b²
with c being the Hypotenuse (the baseline of the triangle opposite of the 90° angle) and in our case the outer height along a side area triangle (24 mm).
the legs of that right-angled triangle are half of a base area side length (remember, the top of the pyramid is right over the middle of the base area square) and the inner height to the top.
so, we have
24² = 12.5² + height²
height² = 24² - 12.5² = 576 - 156.25 = 419.75
height = 20.48780125... mm
so, the volume of the pyramid is then
23² × 20.48780125... / 3 = 3,612.682287... mm³ ≈
≈ 3,612.7 mm³
Answer:
1,200
Steps down below
Step-by-step explanation:
Steps
1: 48=4% loaded on truck and they have 96% left to load
2: so set up a proportion and it should look like this
3: 48 over x = 4 over 100
4: 48/x=4/100
6: do cross multiplication 100×48= 4,800÷ 4 = 1,200 total on truck
Answer: 1,200 total on truck
<em><u>Hope this helps.</u></em>
Considering it's volume of 113 cm³, the approximate radius of the sphere is given by:
A. 3 cm
<h3>What is the volume of an sphere?</h3>
The volume of an sphere of radius r is given by:
In this problem, we have that V = 113 cm³, hence the radius in cm is given as follows:
![r = \sqrt[3]{\frac{113 \times 3}{4\pi}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B113%20%5Ctimes%203%7D%7B4%5Cpi%7D%7D)
r = 3 cm.
Hence option A is correct.
More can be learned about the volume of an sphere at brainly.com/question/25608353
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116/240 which simplifies to 29/60 by dividing 116/240 by 4/4.
